| 常曲率空间Sn+p(C)中具有平行中曲率向量的紧致伪脐子流形 |
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| 引用本文： | 武爱菊,纪永强.常曲率空间Sn+p(C)中具有平行中曲率向量的紧致伪脐子流形[J].宁夏师范学院学报,2003,24(3):10-13. |
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| 作者姓名： | 武爱菊 纪永强 |
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| 作者单位： | 宁夏大学,数学与计算机学院,宁夏,银川,750021 |
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| 摘 要： | 设Mn是Sn+p(c)中具有平行中曲率向量的紧致正曲率子流形(p＞1),当σ≤ n/3p-5(p-1)c+(4p-5)H2],则Mn是Sn+p(c)中全脐子流形.再有Mn关于平均曲率方向是全脐的,即Mn是Sn+p(c)中伪脐子流形.将此定理条件减弱为紧致伪脐子流形,从而得到Mn是Sn+p(c)中全脐子流形的三个平行定理.
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| 关 键 词： | 全脐子流形 伪脐子流形 子流形 |
| 文章编号： | 1001-0491(2003)03-0010-04 |
| 修稿时间： | 2003年2月28日 |
The Compact Pseudo - Umbilical Submanifold With Pallaedmean Curvature In The Constant Curved Manifold Sn+p(c) |
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| WU ai-ju,JI yong-qiang.The Compact Pseudo - Umbilical Submanifold With Pallaedmean Curvature In The Constant Curved Manifold Sn+p(c)[J].Journal of Ningxia Teachers College,2003,24(3):10-13. |
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| Authors: | WU ai-ju JI yong-qiang |
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| Abstract: | Let M" be a compact submanifold with positive curvature in the constant curved
manifolds of Sn+p(c) ,(p - 1) + (4p - 6)H2]then M"be a totally umbilical submanifold
on the mean curvature vector direction.This paper weaken the conditions of the theorems,and obtained three pinching theorems. Then Mn be a totally umbilical submanifold of Sn+p(c) . |
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| Keywords: | The totally umbilical submanifold The presudo umbilical submanifold submanifold |
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